Find the HCF and LCM of 6,72,120 using the Factorisation Method.Is the Product of the Numbers Equalto Products of HCF and LCM ? | Bzziii.com

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Find the HCF and LCM of 6,72,120 using the prime factorisation method.Is the product of the numbers equalto products of HCF and LCM ?







6 = 2 `\times` 3

= `2^1` `\times` `3^1`


72 = 2 `\times` 2 `\times` 2 `\times` 3 `\times` 3

     = `2^3` `\times` `3^2`



120 = 2 `\times` 2 `\times` 2 `\times` 3 `\times` 5

     = `2^3` `\times` `3^1` `\times` `5^1`




HCF = Product of smallest power of each common prime factor

        = `2^1` `\times` `3^1`

        = 6

LCM = Product of greatest power of each common prime factor

        = `2^3` `\times` `3^2` `\times` 5

        = 8  `\times`  9  `\times` 5

        = 360

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